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Finding the Fourth Proportional to 119,206.69, 178,809.53 and 30,460.05

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Solution

The fourth proportional to 119,206.69, 178,809.53 and 30,460.05 is: 45,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,206.69 : 178,809.53 = 30,460.05 : x
  2. Step 2: Convert to fraction form
    119,206.69/178,809.53 = 30,460.05/x
  3. Step 3: Cross multiply
    119,206.69x = 178,809.53 × 30,460.05
  4. Step 4: Simplify right side
    119,206.69x = 5,446,547,071.98
  5. Step 5: Solve for x
    x = 5,446,547,071.98/119,206.69
  6. Step 6: Final answer
    x = 45,689.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.